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Imagine a light planet revolving around ...

Imagine a light planet revolving around a very massive star in a circular orbit of radius r with a period of revolution T. On what power of r will the square of time period will depend if the gravitational force of attraction between the planet and the star is proportional to `r^(-5//2)`.

A

`T^(2)` is propotional to `R^(2)`

B

`T^(2)` is propotional to `R^(7//2)`

C

`T^(2)` is propotional to `R^(3//2)`

D

`T^(2)` is propotional to `R^(3.75)`

Text Solution

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The correct Answer is:
B
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